Least Common Multiple (LCM) of 163 and 51
The least common multiple (LCM) of 163 and 51 is 8313.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 163 and 51?
First, calculate the GCD of 163 and 51 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 163 ÷ 51 = 3 remainder 10 |
| 2 | 51 ÷ 10 = 5 remainder 1 |
| 3 | 10 ÷ 1 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 141 and 66 | 3102 |
| 29 and 33 | 957 |
| 182 and 25 | 4550 |
| 99 and 107 | 10593 |
| 24 and 143 | 3432 |